Aligned carbon nanotube array stiffness from stochastic three-dimensional morphology
The landmark theoretical properties of low dimensional materials have driven more than a decade of research on carbon nanotubes (CNTs) and related nanostructures. While studies on isolated CNTs report behavior that aligns closely with theoretical predictions, studies on cm-scale aligned CNT arrays (...
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Royal Society of Chemistry
2016
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Online Access: | http://hdl.handle.net/1721.1/101916 https://orcid.org/0000-0003-3229-7315 https://orcid.org/0000-0003-3530-5819 https://orcid.org/0000-0002-1268-4492 |
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author | Stein, Itai Y. Wardle, Brian L. Lewis, Diana Jean |
author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Stein, Itai Y. Wardle, Brian L. Lewis, Diana Jean |
author_sort | Stein, Itai Y. |
collection | MIT |
description | The landmark theoretical properties of low dimensional materials have driven more than a decade of research on carbon nanotubes (CNTs) and related nanostructures. While studies on isolated CNTs report behavior that aligns closely with theoretical predictions, studies on cm-scale aligned CNT arrays (>10[superscript 10] CNTs) oftentimes report properties that are orders of magnitude below those predicted by theory. Using simulated arrays comprised of up to 105 CNTs with realistic stochastic morphologies, we show that the CNT waviness, quantified via the waviness ratio (w), is responsible for more than three orders of magnitude reduction in the effective CNT stiffness. Also, by including information on the volume fraction scaling of the CNT waviness, the simulation shows that the observed non-linear enhancement of the array stiffness as a function of the CNT close packing originates from the shear and torsion deformation mechanisms that are governed by the low shear modulus (∼1 GPa) of the CNTs. |
first_indexed | 2024-09-23T10:24:08Z |
format | Article |
id | mit-1721.1/101916 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T10:24:08Z |
publishDate | 2016 |
publisher | Royal Society of Chemistry |
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spelling | mit-1721.1/1019162022-09-26T17:38:07Z Aligned carbon nanotube array stiffness from stochastic three-dimensional morphology Stein, Itai Y. Wardle, Brian L. Lewis, Diana Jean Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Massachusetts Institute of Technology. Department of Mechanical Engineering Stein, Itai Y. Lewis, Diana Jean Wardle, Brian L. The landmark theoretical properties of low dimensional materials have driven more than a decade of research on carbon nanotubes (CNTs) and related nanostructures. While studies on isolated CNTs report behavior that aligns closely with theoretical predictions, studies on cm-scale aligned CNT arrays (>10[superscript 10] CNTs) oftentimes report properties that are orders of magnitude below those predicted by theory. Using simulated arrays comprised of up to 105 CNTs with realistic stochastic morphologies, we show that the CNT waviness, quantified via the waviness ratio (w), is responsible for more than three orders of magnitude reduction in the effective CNT stiffness. Also, by including information on the volume fraction scaling of the CNT waviness, the simulation shows that the observed non-linear enhancement of the array stiffness as a function of the CNT close packing originates from the shear and torsion deformation mechanisms that are governed by the low shear modulus (∼1 GPa) of the CNTs. Massachusetts Institute of Technology. Nano-engineered Composite aerospace STructures (NECST) Consortium United States. Army Research Office (Contract W911NF-07-D-0004) United States. Army Research Office (Contract W911NF-13-D-0001) United States. Dept. of Defense. National Defense Science & Engineering Graduate Fellowship Program 2016-03-30T14:41:38Z 2016-03-30T14:41:38Z 2015-11 2015-09 Article http://purl.org/eprint/type/JournalArticle 2040-3364 2040-3372 http://hdl.handle.net/1721.1/101916 Stein, Itai Y., Diana J. Lewis, and Brian L. Wardle. “Aligned Carbon Nanotube Array Stiffness from Stochastic Three-Dimensional Morphology.” Nanoscale 7, no. 46 (2015): 19426–19431. © 2015 Royal Society of Chemistry https://orcid.org/0000-0003-3229-7315 https://orcid.org/0000-0003-3530-5819 https://orcid.org/0000-0002-1268-4492 en_US http://dx.doi.org/10.1039/c5nr06436h Nanoscale Creative Commons Attribution 3.0 Unported licence http://creativecommons.org/licenses/by/3.0/ application/pdf Royal Society of Chemistry Royal Society of Chemistry |
spellingShingle | Stein, Itai Y. Wardle, Brian L. Lewis, Diana Jean Aligned carbon nanotube array stiffness from stochastic three-dimensional morphology |
title | Aligned carbon nanotube array stiffness from stochastic three-dimensional morphology |
title_full | Aligned carbon nanotube array stiffness from stochastic three-dimensional morphology |
title_fullStr | Aligned carbon nanotube array stiffness from stochastic three-dimensional morphology |
title_full_unstemmed | Aligned carbon nanotube array stiffness from stochastic three-dimensional morphology |
title_short | Aligned carbon nanotube array stiffness from stochastic three-dimensional morphology |
title_sort | aligned carbon nanotube array stiffness from stochastic three dimensional morphology |
url | http://hdl.handle.net/1721.1/101916 https://orcid.org/0000-0003-3229-7315 https://orcid.org/0000-0003-3530-5819 https://orcid.org/0000-0002-1268-4492 |
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